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A253482 T(n,k)=Number of (n+1)X(k+1) 0..2 arrays with every 2X2 subblock ne-sw antidiagonal difference unequal to its neighbors horizontally and nw+se diagonal sum unequal to its neighbors vertically 9
81, 558, 558, 3888, 6804, 3888, 27000, 85464, 85280, 27000, 187704, 1069400, 1962374, 1066300, 187704, 1304424, 13402934, 44878810, 44943722, 13347930, 1304424, 9066168, 167888152, 1028601406, 1878758740, 1029772234, 166986430 (list; table; graph; refs; listen; history; text; internal format)
OFFSET

1,1

COMMENTS

Table starts

......81.......558........3888.........27000..........187704...........1304424

.....558......6804.......85464.......1069400........13402934.........167888152

....3888.....85280.....1962374......44878810......1028601406.......23553719782

...27000...1066300....44943722....1878758740.....78770049974.....3299718630574

..187704..13347930..1029772234...78704951512...6038749847806...462971719837062

.1304424.166986430.23584643086.3297669520142.463112610524774.64994605968684110

LINKS

R. H. Hardin, Table of n, a(n) for n = 1..66

FORMULA

Empirical for column k:

k=1: a(n) = 3*a(n-1) +24*a(n-2) +24*a(n-3)

k=2: [order 88]

Empirical for row n:

n=1: a(n) = 3*a(n-1) +24*a(n-2) +24*a(n-3)

n=2: [order 90] for n>91

EXAMPLE

Some solutions for n=2 k=4

..0..0..2..2..0....0..0..1..1..2....0..0..0..1..0....0..0..0..1..1

..0..1..0..2..2....1..0..1..1..2....2..0..2..2..0....0..2..1..0..0

..2..2..0..2..1....1..1..0..0..0....1..1..0..2..2....2..0..1..0..0

CROSSREFS

Column 1 and row 1 are A186133

Sequence in context: A253294 A253164 A185777 * A186141 A185771 A186133

Adjacent sequences:  A253479 A253480 A253481 * A253483 A253484 A253485

KEYWORD

nonn,tabl

AUTHOR

R. H. Hardin, Jan 02 2015

STATUS

approved

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Last modified December 1 22:12 EST 2021. Contains 349435 sequences. (Running on oeis4.)